16 citations · 26 across the 3 of their papers we have counts for
3 papers
math.PR2013★ 4 cited
Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles
Alexander Bufetov, Sevak Mkrtchyan, Maria Shcherbina +1
We show that beta ensembles in Random Matrix Theory with generic real analytic potential have the asymptotic equipartition property. In addition, we prove a Central Limit Theorem f…
math-ph2008★ 16 cited
Edge Universality for Orthogonal Ensembles of Random Matrices
Maria Shcherbina
We prove edge universality of local eigenvalue statistics for orthogonal invariant matrix models with real analytic potentials and one interval limiting spectrum. Our starting poin…
math-ph2007★ 6 cited
Central limit theorem for linear eigenvalue statistics of orthogonally invariant matrix models
M. Shcherbina
We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of random matrices with one interval limiting spectrum. We consider ensembles wi…